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Katarina [22]
3 years ago
14

How are the graphs of the functions y=x+7 and y=x-5 related?

Mathematics
2 answers:
Zanzabum3 years ago
8 0

They have the same slope, but different y-intercepts, making them parallel.

luda_lava [24]3 years ago
4 0

They are both straight lines and  parallel to each other. Their slopes are the same.

y = mx + b is one general form of  the equation of a straight line,.

if we compare this to y = x + 7 and y = x - 5 we see that they both have the same slope of 1.

y = x + 7 will have a y intercept of (0,7) and y = x - 5 has y intercept of (0,-5)

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Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a
Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=5\pi\ in

substitute and solve for r

5\pi=2\pi r

r=2.5\ in

step 2

Find the area of the circle

we know that

The area of the circle is equal to

A=\pi r^{2}

we have

r=2.5\ in

substitute

A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

Find the area of the associated sector

we know that

2\pi\ radians subtends the complete circle of area 6.25\pi\ in^{2}

so

by proportion

Find the area of a sector with a central angle of \pi/3\ radians

\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}

8 0
3 years ago
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!
nexus9112 [7]

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16  = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x     2-4 =x

6 =x           -2 =x

since time cannot be negative

x=6

4 0
3 years ago
A tangerine juice container is in the shape of a rectangular prism. The width is 26
geniusboy [140]

Answer:

V = 26d^2 + 624d

Step-by-step explanation:

Volume = Width x Depth x Height

V = 26 (d) (d+24)

Now distribute 26

V = 26d(d+24)

Then distribute 26d

V = 26d^2 + 624d

6 0
3 years ago
Circle the largest decimal in each of the following groups.
ExtremeBDS [4]

A. 0.370

B. 0.44

C. 0.1

D. 2.75

7 0
3 years ago
Read 2 more answers
Help me please please
tatyana61 [14]

Answer:

6.91 times 6.91 equals 47.7481

47.7481 times π equals 150.005080183

to the second digit this is

150.01

5 0
3 years ago
Read 2 more answers
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